Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies

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dc.creatorMiguel Ángel Solís Prosser
dc.creatorOmar Alejandro Jiménez Henríquez
dc.creatorAldo Patricio Delgado Hidalgo
dc.creatorLeonardo Teixeira Neves
dc.date.accessioned2025-02-23T17:21:26Z
dc.date.accessioned2025-09-08T23:56:16Z
dc.date.available2025-02-23T17:21:26Z
dc.date.issued2021
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais
dc.description.sponsorshipINCT – Instituto nacional de ciência e tecnologia (Antigo Instituto do Milênio)
dc.identifier.doihttps://doi.org/10.1088/2058-9565/ac37c4
dc.identifier.issn2058-9565
dc.identifier.urihttps://hdl.handle.net/1843/80335
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofQuantum Science and Technology
dc.rightsAcesso Restrito
dc.subjectComunicação quântica
dc.subject.otherQuantum communication
dc.subject.otherQuantum state discrimination
dc.subject.otherOptimal unambiguous measurement
dc.subject.otherMinimum error measurement
dc.subject.otherConcatenated measurement strategies
dc.titleEnhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies
dc.typeArtigo de periódico
local.citation.epage11
local.citation.issue1
local.citation.spage1
local.citation.volume7
local.description.resumoThe impossibility of deterministic and error-free discrimination among nonorthogonal quantum states lies at the core of quantum theory and constitutes a primitive for secure quantum communication. Demanding determinism leads to errors, while demanding certainty leads to some inconclusiveness. One of the most fundamental strategies developed for this task is the optimal unambiguous measurement. It encompasses conclusive results, which allow for error-free state retrodictions with the maximum success probability, and inconclusive results, which are discarded for not allowing perfect identifications. Interestingly, in high-dimensional Hilbert spaces the inconclusive results may contain valuable information about the input states. Here, we theoretically describe and experimentally demonstrate the discrimination of nonorthogonal states from both conclusive and inconclusive results in the optimal unambiguous strategy, by concatenating a minimum-error measurement at its inconclusive space. Our implementation comprises four- and nine-dimensional spatially encoded photonic states. By accessing the inconclusive space to retrieve the information that is wasted in the conventional protocol, we achieve significant increases of up to a factor of 2.07 and 3.73, respectively, in the overall probabilities of correct retrodictions. The concept of concatenated optimal measurements demonstrated here can be extended to other strategies and will enable one to explore the full potential of high-dimensional nonorthogonal states for quantum communication with larger alphabets.
local.identifier.orcidhttps://orcid.org/0000-0002-2856-441X
local.identifier.orcidhttps://orcid.org/0009-0000-4557-9472
local.identifier.orcidhttps://orcid.org/0000-0002-8968-5733
local.identifier.orcidhttps://orcid.org/0000-0002-9589-1939
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://iopscience.iop.org/article/10.1088/2058-9565/ac37c4

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